Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Magnetic field in materials

  1. Jun 1, 2005 #1
    I am trying to derive the relation between magnetic field strength in materials and magnetizing field from the [tex]$\mathbf B$[/tex] field. More exactly, my question is:

    how do we get this expression

    $\nabla \centerdot \mathbf H = - \nabla \centerdot \mathbf M$ \\


    $\nabla \centerdot \mathbf B = 0$ \\


    $\mathbf B=\mu_0(\mathbf H + \mathbf M )$

    Anyone can guid me how the first equation is related to the 2nd and 3rd equations?

  2. jcsd
  3. Jun 1, 2005 #2
    [tex]\nabla \cdot B=\nabla \cdot {\mu}_0(H+M)=0 [/tex]

    Do you get the idea now?
  4. Jun 1, 2005 #3
    I 'm not sure !?

    but how do we get from this:
  5. Jun 1, 2005 #4
    [tex]\nabla \cdot {\mu}_0(H+M)=0[/tex]

    divide [tex]\mu_o[/tex] out. you can do that since it's just a constant. then you have

    [tex]\nabla \cdot H + \nabla \cdot M=0[/tex]

    which is what you're looking for once you move the M-term to the other side of the eq.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook